In 29–31, use the first few terms of the power series
Chapter 8, Problem 30E(choose chapter or problem)
In Problems 29–31, use the first few terms of the power series expansion to find a cubic polynomial approximation for the solution to the given initial value problem. Graph the linear, quadratic, and cubic polynomial approximations for
\(-5 \leq x \leq 5\).
\(y^{\prime \prime}-4 x y^{\prime}+5 y=0\)
\(y(0)=-1, \quad y^{\prime}(0)=1\)
Equation Transcription:
Text Transcription:
-5 \leq x \leq 5
y''-4xy'+5y=0
y(0)=-1, y'(0)=1
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